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Restricted Arithmetic Quantum Unique Ergodicity
November 28 at 16:00 – 17:00 CET
International Seminar on Automorphic Forms
The quantum unique ergodicity conjecture of Rudnick and Sarnak concerns the mass equidistribution in the large eigenvalue limit of Laplacian eigenfunctions on negatively curved manifolds. This conjecture has been resolved by Lindenstrauss when this manifold is the modular surface assuming these eigenfunctions are additionally Hecke eigenfunctions, namely Hecke-Maass cusp forms. I will discuss a variant of this problem in this arithmetic setting concerning the mass equidistribution of Hecke-Maass cusp forms on submanifolds of the modular surface.
Peter Humphries (University of Virginia)
The password is the first Fourier coefficient of the modular j-function (as digits).